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Bi-conditional question

fl7dqffl7dqf Core Member

I just got a question wrong because I was confused about bi-conditionals so I just want to clarify

If A<----> B, that does NOT mean that B<--->A, right?

The contrapositive of a bi-conditional in the form A<----->B is /A<---->/B

Is this right?

Comments

  • owusu101owusu101 Core Member
    6 karma

    Yes, that is correct.

  • LivinLaVidaLSATLivinLaVidaLSAT Alum Member
    719 karma

    A<----> B and this B<--->A are the same. A biconditional can be read forward or backward. As someone who didn't study logic in school, I found it helpful to look up real world examples online and then come up with my own examples that apply to my everyday life. You wrote the contrapositive statement correctly. I hope this helps.

  • BlakeFranBlakeFran Live Member
    42 karma

    I believe you can even read a bi-conditional as material equivalent- but i took a little logic so thats a little more hard to see - but they operate the same.

  • natemanwell1natemanwell1 Core Member
    153 karma

    the way you are writing it means that two statements are equivalent. A "if and only if B" means that A implies B and B implies A, which is diagrammed A <=> B, whose contrastive is not(A) if and only if not(B) or not(A) <=> not(B), so A and B are both necessary and sufficient conditions for each other. if you meant "A implies B" written "A => B" the contrastive of that statement is "not(B) implies not(A)" or "not(B) !=> not(A)"

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